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146333964 = 223737197239
BaseRepresentation
bin10001011100011…
…10000100001100
3101012100112110110
420232032010030
5244430141324
622304240020
73424550430
oct1056160414
9335315413
10146333964
1175668967
1241010010
132441735a
14156129c0
15cca8329
hex8b8e10c

146333964 has 96 divisors (see below), whose sum is σ = 404490240. Its totient is φ = 40303872.

The previous prime is 146333939. The next prime is 146334037. The reversal of 146333964 is 469333641.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612157 + ... + 612395.

It is an arithmetic number, because the mean of its divisors is an integer number (4213440).

Almost surely, 2146333964 is an apocalyptic number.

146333964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146333964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202245120).

146333964 is an abundant number, since it is smaller than the sum of its proper divisors (258156276).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

146333964 is a wasteful number, since it uses less digits than its factorization.

146333964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 485 counting only the distinct ones).

The product of its digits is 139968, while the sum is 39.

The square root of 146333964 is about 12096.8576084866. The cubic root of 146333964 is about 526.9649287080.

The spelling of 146333964 in words is "one hundred forty-six million, three hundred thirty-three thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 197 222 239 259 394 444 478 518 591 717 777 788 956 1036 1182 1379 1434 1554 1673 2364 2758 2868 3108 3346 4137 5019 5516 6692 7289 8274 8843 10038 14578 16548 17686 20076 21867 26529 29156 35372 43734 47083 51023 53058 61901 87468 94166 102046 106116 123802 141249 153069 185703 188332 204092 247604 282498 306138 329581 371406 564996 612276 659162 742812 988743 1318324 1742071 1977486 3484142 3954972 5226213 6968284 10452426 12194497 20904852 24388994 36583491 48777988 73166982 146333964